Results 91 to 100 of about 382 (182)
A Short Survey on Biharmonic Riemannian Submersions
International Electronic Journal of GeometryThe study of biharmonic submanifolds, initiated by B. Y. Chen and G. Y. Jiang independently, has received a great attention in the past 30 years with many important progress (see the reference for some recent books with vast references therein). This note attempts to give a short survey on the study of biharmonic Riemannian submersions which are a ...
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Geometry of Foliated Manifolds
Extracta Mathematicae, 2016 In this paper some results of the authors on geometry of foliated manifolds are stated and results on geometry of Riemannian (metric) foliations are discussed.
A.Ya. Narmanov, A.S. Sharipov
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Differential of the Stretch Tensor for Any Dimension with Applications to Quotient Geodesics
Comptes Rendus. MathématiqueThe polar decomposition $X=WR$, with $X \in \mathrm{GL}(n, \mathbb{R})$, $W \in \mathcal{S}_+(n)$, and $R \in \mathcal{O}_n$, suggests a right action of the orthogonal group $\mathcal{O}_n$ on the general linear group $\mathrm{GL}(n, \mathbb{R ...
Bisson, Olivier, Pennec, Xavier
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?-flat manifolds and Riemannian submersions
Manuscripta Mathematica, 1989 In this paper, we show that a certain rigidity condition (∑-flatness) for open nonnegatively curved manifoldsM is preserved by Riemannian submersions. The result can be applied to quotients ofM by groups of isometries. ∑-flat metrics are also used to derive a splitting theorem for distance tubes of maximal volume growth.
Strake, M., Walschap, G.
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The concept of Cheeger deformations on fiber bundles with compact structure group. [PDF]
Sao Paulo J Math Sci, 2023 Cavenaghi LF, Grama L, Sperança LD.
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RIEMANNIAN SUBMERSIONS FROM RIEMANN SOLITONS
Matematički VesnikSummary: In the present paper, we study a Riemannian submersion \(\pi\) from a Riemann soliton \((M_1,g,\xi,\lambda)\) onto a Riemannian manifold \((M_2,g^{'})\). We first calculate the sectional curvatures of any fibre of \(\pi\) and the base manifold \(M_2\). Using them, we give some necessary and sufficient conditions for which the Riemann soliton \(
Meriç, Şemsi Eken, Kılıç, Erol
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A finiteness theorem for Riemannian submersions [PDF]
Annales Polonici Mathematici, 1992 Given nonnegative constants \(D\), \(V\), \(\kappa\) and \(\tau\), and positive integers \(p\) and \(n\), let \({\mathcal R}(D,V,\kappa,\tau,p,n)\) denote the collection of all Riemannian submersions \(F:M\to B\) satisfying the conditions (a) \(\dim M=n\) and \(\dim B=n-p\).
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Riemannian submersions and slant submanifolds
Publicationes Mathematicae Debrecen, 2002 Plan Andaluz de Investigación (Junta de Andalucía)
Cabrerizo Jaraíz, José Luis +3 more
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Nested Hyperbolic Spaces for Dimensionality Reduction and Hyperbolic NN Design. [PDF]
Proc IEEE Comput Soc Conf Comput Vis Pattern Recognit, 2022 Fan X, Yang CH, Vemuri BC.
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